Sure I run BF3, BF4, Bioshock Infinite on Ultra @ 1920x1080...... one system uses a GTX690, the other CrossFire 7970 Ghz editions. And they don't have the latest and greatest CPU's either..... old quad cores from 2009....
My point was, IF you AMD 4130 is weak you CAN compensate by adding an even more powerful GPU.....
I'll bet any money your AMD 4130 has "no problem" with most games if you put a GTX 780 in the system..... (you could get away with less I'm sure, your mileage may vary..)